Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160cb |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15049359360 = 216 · 38 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241932,-45802384] |
[a1,a2,a3,a4,a6] |
Generators |
[1316:43760:1] |
Generators of the group modulo torsion |
j |
32779037733124/315 |
j-invariant |
L |
5.7558775465826 |
L(r)(E,1)/r! |
Ω |
0.21526638911612 |
Real period |
R |
6.684598522575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160fh4 2520f3 6720e4 100800fi4 |
Quadratic twists by: -4 8 -3 5 |